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Finding the Fourth Proportional to 11,549.97, 15,938.51 and 6,515.26

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Solution

The fourth proportional to 11,549.97, 15,938.51 and 6,515.26 is: 8,990.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.97 : 15,938.51 = 6,515.26 : x
  2. Step 2: Convert to fraction form
    11,549.97/15,938.51 = 6,515.26/x
  3. Step 3: Cross multiply
    11,549.97x = 15,938.51 × 6,515.26
  4. Step 4: Simplify right side
    11,549.97x = 103,843,464.24
  5. Step 5: Solve for x
    x = 103,843,464.24/11,549.97
  6. Step 6: Final answer
    x = 8,990.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.